Data were collected on the top 1,000 financial advisers. Company A had 239 people on the list and another company, Company B, had 121 people on the list. A sample of 16 of the advisers from Company A and 10 of the advisers from Company B showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of the amount managed by advisers from Company A was s, = $589 million. The standard deviation of the amount managed by advisers from Company B was s, = $486 million. Conduct a hypothesis test at a = 0.10 to determine if there is a significant difference in the population variances for the amounts managed by the two companies. What is your conclusion about the variability in the amount of funds managed by advisers from the two firms? State the null and alternative hypotheses. = 0,2 Ho: o,?soz? Hgi 0,? > 0z? Họ: o,? > oz? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject Ho: We cannot conclude there is a statistically significant difference between the variances for the two companies.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Data were collected on the top 1,000 financial advisers. Company A had 239 people on the list and another company, Company B, had 121 people on the list. A sample of 16 of the advisers from
Company A and 10 of the advisers from Company B showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of
You may need to use the appropriate technology to answer this question.
the amount managed by advisers from Company A was s,
at a = 0.10 to determine if there is a significant difference in the population variances for the amounts managed by the two companies. What is your conclusion about the variability in the amount of
$589 million. The standard deviation of the amount managed by advisers from Company B was s, = $486 million. Conduct a hypothesis test
funds managed by advisers from the two firms?
State the null and alternative hypotheses.
Ho: 01
02
2
2
Ha: 01
02
2
Ho: 01
Hai 01
2
02
2
Ho: o
1
2
Ha: 01 > 02°
Ho: o?
2
> 02
2
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
Do not reject Ho. We cannot conclude there is a statistically significant difference between the variances for the two companies.
Reject Ho. We can conclude there is a statistically significant difference between the variances for the two companies.
Reject Ho. We cannot conclude there is a statistically significant difference between the variances for the two companies.
Do not reject Ho. We can conclude there is a statistically significant difference between the variances for the two companies.
Transcribed Image Text:Data were collected on the top 1,000 financial advisers. Company A had 239 people on the list and another company, Company B, had 121 people on the list. A sample of 16 of the advisers from Company A and 10 of the advisers from Company B showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of You may need to use the appropriate technology to answer this question. the amount managed by advisers from Company A was s, at a = 0.10 to determine if there is a significant difference in the population variances for the amounts managed by the two companies. What is your conclusion about the variability in the amount of $589 million. The standard deviation of the amount managed by advisers from Company B was s, = $486 million. Conduct a hypothesis test funds managed by advisers from the two firms? State the null and alternative hypotheses. Ho: 01 02 2 2 Ha: 01 02 2 Ho: 01 Hai 01 2 02 2 Ho: o 1 2 Ha: 01 > 02° Ho: o? 2 > 02 2 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. Do not reject Ho. We cannot conclude there is a statistically significant difference between the variances for the two companies. Reject Ho. We can conclude there is a statistically significant difference between the variances for the two companies. Reject Ho. We cannot conclude there is a statistically significant difference between the variances for the two companies. Do not reject Ho. We can conclude there is a statistically significant difference between the variances for the two companies.
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